Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

330×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 4.8b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (* y y)) 3.0)
10.3b	(/ x (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-cube-cbrt` `times-frac` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--`

Counts

2 → 36

Calls

2 calls:

6.0ms	(- (/ x (* y y)) 3.0)
4.0ms	(/ x (* y y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ x (* y y)) 3.0)
5.0ms	(/ x (* y y))

simplify36.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	159	182
1	465	164
2	1357	162
3	5001	162

prune53.0ms

Filtered

42 candidates to 30 candidates (28.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (/ x y) y) 3.0)
0.2b	(/ (/ x y) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*` `difference-of-squares`
2×	`pow1`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

15.0ms	(- (/ (/ x y) y) 3.0)
6.0ms	(/ (/ x y) y)

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ (/ x y) y) 3.0)
5.0ms	(/ (/ x y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	375	563
1	1327	525
2	5001	517

prune78.0ms

Filtered

92 candidates to 63 candidates (31.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ 1 y) (/ x y)) 3.0)
0.2b	(* (/ 1 y) (/ x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-exp-log`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`pow1` `cbrt-undiv` `cbrt-unprod` `add-log-exp`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

2 → 68

Calls

2 calls:

6.0ms	(- (* (/ 1 y) (/ x y)) 3.0)
10.0ms	(* (/ 1 y) (/ x y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (* (/ 1 y) (/ x y)) 3.0)
4.0ms	(* (/ 1 y) (/ x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	372	388
1	1750	333
2	5001	289

prune70.0ms

Filtered

74 candidates to 45 candidates (39.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	74	6	80

Merged error: 0b

Counts

80 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
9.8b	(cbrt (/ x y))
9.8b	(cbrt (/ x y))
9.8b	(cbrt (/ x y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

11.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
12.0ms	(cbrt (/ x y))
16.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))

simplify83.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	281	1133
1	971	1088
2	3950	1022
3	5002	989

prune314.0ms

Filtered

156 candidates to 119 candidates (23.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	156	6	162

Merged error: 0b

Counts

162 → 6

regimes230.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

sample506.0ms

Algorithm

intervals

Results

252.0ms

10641×

body

valid

Details

sample21.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite11.0ms

series11.0ms

simplify36.0ms

prune53.0ms

localize4.0ms

rewrite27.0ms

series11.0ms

simplify36.0ms

prune78.0ms

localize6.0ms

rewrite19.0ms

series10.0ms

simplify45.0ms

prune70.0ms

localize8.0ms

rewrite24.0ms

series59.0ms

simplify83.0ms

prune314.0ms

regimes230.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample506.0ms

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